Question

Construct a PDF table.

Short answer

PDF table:

Step-by-step solution

Given Information

volunteers at community activities. In a month, he only attends five events. He attends exactly five activities $35\%$of the time, four events$25\%$ of the time, three events $20\%$of the time, two events $10\%$ of the time, one event $5\%$ of the time, and no events $5\%$ of the time.

Calculation

Javier attends exactly five events, as stated in the description. $35\%$of the time, which translates to $35$out of $100$months in which he attends exactly five events. the relative frequency of Javier attending 5 events is $\frac{33}{100}$, indicating a percent chance of Javier attending all five activities. This is an empirical approach to probability in which the probability of an event is proportional to the number of times it occurs.

So probability of X taking value $5$is $\frac{35}{100}=0.35$

In terms of notation,

localid="1649522919758" $$\begin{gathered} P\left(5\right)is0.35 \\ SimilarlyP\left(4\right)is0.25 \\ P\left(3\right)is0.20 \\ P\left(2\right)is0.10 \\ P\left(1\right)=P\left(0\right)=0.05 \end{gathered}$$

Final Answer